The answer is y=bx-b(a-1), because when x=a then y=b.
2arctan(2/5) = 44°
180° -44° = 136°
The angles are 44°, 136°.
Answer:
A
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m =
with (x₁, y₁ ) = (4, - 1) and (x₂, y₂ ) = (- 2, 3)
m = = = - , thus
y = - x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (- 2, 3) , then
3 = + c ⇒ c = 3 - =
y = - x + ← in slope- intercept form
Multiply through by 3 to clear the fractions
3y = - 2x + 5 ( add 2x to both sides )
2x + 3y = 5 ( subtract 5 from both sides )
2x + 3y - 5 = 0 ← in general form
Answer:
B and C
Step-by-step explanation:
Distribute
4x^2 + 10x = 4x^2 +10x
30x^4 - 12x^3 = 30x^4 - 12x^3
Answer:
1944 in³
Step-by-step explanation:
We are given;
Dimensions of a triangular prism;
- Base is 18 inches
- Length is 9 inches, and
- Length is 24 inches
We are required to determine the volume of the prism
To answer the question we need to know that the volume of a triangular prism is given by;
Volume = 0.5 × Width × height × Length
Therefore;
Volume = 0.5 × 18 in × 9 in × 24 in
= 1944 in³
Thus, the volume of the triangular prism is 1944 in³